DocumentCode
1727852
Title
Extension definition of affine properties for studying degrees of grey incidences
Author
Meng Wei ; Liu Sifeng ; Zeng Bo
Author_Institution
Coll. of Econ. & Manage., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China
fYear
2011
Firstpage
84
Lastpage
87
Abstract
An extension definition of affine properties of grey relational analysis models is presented in this paper, and referenced sequence to simplify the proof is discussed in details. With the proposed definition, if the original sequence and transformed sequence have the same degree of grey correlation to the referenced sequence, the conclusion can be drawn that the proposed model satisfies the invariance according the designed transformation. Finally, several commonly used models are discussed, and verified the simplification and validity of the new method.
Keywords
affine transforms; correlation methods; grey systems; sequences; system theory; affine invariance; affine properties; grey correlation; grey incidence analysis; grey relational analysis model; grey system theory; referenced sequence; transformed sequence; Grey relational analysis; Grey system theory; Properties of grey relational analysis models;
fLanguage
English
Publisher
ieee
Conference_Titel
Grey Systems and Intelligent Services (GSIS), 2011 IEEE International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-61284-490-9
Type
conf
DOI
10.1109/GSIS.2011.6044112
Filename
6044112
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